To find the acceleration of the cyclist, we can use the formula:
Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)
Given:
Initial velocity (u) = 20 m/s (cycling north)
Final velocity (v) = 30 m/s (after 10 seconds)
Time (t) = 10 seconds
Substituting the values into the formula:
Acceleration (a) = (30 m/s - 20 m/s) / 10 s
Simplifying the calculation:
Acceleration (a) = 10 m/s / 10 s
Acceleration (a) = 1 m/s²
Therefore, the acceleration of the cyclist is 1 m/s² north.